Search a number
-
+
300031020 = 223353117923
BaseRepresentation
bin10001111000100…
…001110000101100
3202220120011012000
4101320201300230
51103301443040
645434412300
710302136002
oct2170416054
9686504160
10300031020
111443a5823
1284591090
134a20bc63
142bbc0a72
151b518130
hex11e21c2c

300031020 has 96 divisors (see below), whose sum is σ = 963594240. Its totient is φ = 77423040.

The previous prime is 300030971. The next prime is 300031027. The reversal of 300031020 is 20130003.

It is a happy number.

It is a super-2 number, since 2×3000310202 = 180037225924480800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 300030993 and 300031011.

It is not an unprimeable number, because it can be changed into a prime (300031027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7779 + ... + 25701.

It is an arithmetic number, because the mean of its divisors is an integer number (10037440).

Almost surely, 2300031020 is an apocalyptic number.

300031020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 300031020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481797120).

300031020 is an abundant number, since it is smaller than the sum of its proper divisors (663563220).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

300031020 is a wasteful number, since it uses less digits than its factorization.

300031020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17972 (or 17964 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 300031020 is about 17321.4035228096. The cubic root of 300031020 is about 669.4560224093.

Adding to 300031020 its reverse (20130003), we get a palindrome (320161023).

The spelling of 300031020 in words is "three hundred million, thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 31 36 45 54 60 62 90 93 108 124 135 155 180 186 270 279 310 372 465 540 558 620 837 930 1116 1395 1674 1860 2790 3348 4185 5580 8370 16740 17923 35846 53769 71692 89615 107538 161307 179230 215076 268845 322614 358460 483921 537690 555613 645228 806535 967842 1075380 1111226 1613070 1666839 1935684 2222452 2419605 2778065 3226140 3333678 4839210 5000517 5556130 6667356 8334195 9678420 10001034 11112260 15001551 16668390 20002068 25002585 30003102 33336780 50005170 60006204 75007755 100010340 150015510 300031020